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Home > Art, Film & Photography > Proofs: Cantor's Diagonal Argument, Proof by Contradiction, Mathematical Induction, Godel's Completeness Theorem, Mathematical Proof
Proofs: Cantor's Diagonal Argument, Proof by Contradiction, Mathematical Induction, Godel's Completeness Theorem, Mathematical Proof

Proofs: Cantor's Diagonal Argument, Proof by Contradiction, Mathematical Induction, Godel's Completeness Theorem, Mathematical Proof


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About the Book

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Pages: 60. Chapters: Cantor's diagonal argument, Proof by contradiction, Mathematical induction, Godel's completeness theorem, Mathematical proof, Original proof of Godel's completeness theorem, Q.E.D., Commutative diagram, Conditional proof, Law of large numbers, Turing's proof, Mathematical fallacy, Proof of impossibility, Proof sketch for Godel's first incompleteness theorem, List of published incomplete proofs, Probabilistic proofs of non-probabilistic theorems, Combinatorial proof, Bijective proof, Double counting, Probabilistic method, Structural induction, Probabilistically checkable proof, Infinite descent, Constructive proof, Back-and-forth method, List of mathematical proofs, Elementary proof, Proof without words, Existence theorem, Proof by intimidation, Proof by exhaustion, Direct proof, Proofs from THE BOOK, Proof by contrapositive, Minimal counterexample, Tombstone, Of the form. Excerpt: First published in January 1937 with the title On Computable Numbers, With an Application to the Entscheidungsproblem, Turing's proof was the second proof of the assertion (Alonzo Church proof was first) that some decision problems are "undecidable" there is no single algorithm that infallibly gives a correct YES or NO answer to each instance of the problem. In his own words: ..".what I shall prove is quite different from the well-known results of Godel ... I shall now show that there is no general method which tells whether a given formula U is provable in K ..." (Undecidable p. 145). Turing preceded this proof with two others. The second and third both rely on the first. All rely on his development of type-writer-like "computing machines" that obey a simple set of rules and his subsequent development of a "universal computing machine." In 1905 Jules Richard presented this profound paradox. Alan Turing's first proof constructs this parad...


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Product Details
  • ISBN-13: 9781156574577
  • Publisher: Books LLC, Wiki Series
  • Publisher Imprint: Books LLC, Wiki Series
  • Height: 246 mm
  • No of Pages: 62
  • Spine Width: 3 mm
  • Weight: 127 gr
  • ISBN-10: 1156574579
  • Publisher Date: 04 Sep 2011
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Sub Title: Cantor's Diagonal Argument, Proof by Contradiction, Mathematical Induction, Godel's Completeness Theorem, Mathematical Proof
  • Width: 189 mm


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